Question

if -2and 3 are zero of a polynomial, find the polynomial​

Answer 1

Answer:

x^2 - x - 6

Step-by-step explanation:

if alpha and beta are known the polynomial can be found out as follows:

p(x) = x^2 - (alpha + beta)x + alpha×beta

= x^2 - (3 - 2)x + 3(-2)

= x^2 - x - 6

Answer 2

Step-by-step explanation:

-2 and 3

(x +2) (x - 3)

x (x - 3) + 2(x - 3)

x² - 3x + 2x - 6

x² - x - 6

x² - x - 6

x² - 2x +3x - 6

x (x - 2)+ 3 (x - 2)

(x-2) (x +3)

x - 2 =0 or x +3 =0

x = 0+2 x = 0-3

x =2 x = - 3

2 and - 3 Are the two other zeroes